Leszek Gasinski

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In this paper we study nonlinear second-order differential inclusions involving the ordinary vector p-Laplacian, a multivalued maximal monotone operator and nonlinear multivalued boundary conditions. Our framework is general and unifying and incorporates gradient systems, evolutionary variational inequalities and the classical boundary value problems,(More)
The session will focus on the recent developments in the theory of nonlinear evolution equations, optimal control theory and related topics including real life problems of mechanics, biology, economics, and medicine. The main topics of the session include, but are not limited to, analysis of solutions of evolution problems and partial differential(More)
We consider a nonlinear periodic problem driven by a nonhomogeneous differential operator, which includes as a particular case the scalar p-Laplacian. We assume that the reaction is a Carathéodory function which admits time-dependent zeros of constant sign. No growth control near ±∞ is imposed on the reaction. Using variational methods coupled with suitable(More)
and Applied Analysis 3 2. Mathematical Background and Hypotheses Let X be a Banach space, and let X∗ be its topological dual. By 〈·, ·〉 we denote the duality brackets for the pair X∗, X . Let φ ∈ C1 X . We say that φ satisfies the Cerami condition if the following is true: “every sequence {xn}n≥1 ⊆ X, such that {φ xn }n≥1 is bounded and 1 ‖xn‖ φ′ xn −→ 0 in(More)